Resonances of third order differential operators

DOI10.1016/J.JMAA.2019.05.007arXiv1605.01842WikidataQ127887289 ScholiaQ127887289MaRDI QIDQ6273228

Publication date: 6 May 2016

Abstract: We consider resonances for third order ordinary differential operator with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.

Mathematics Subject Classification ID

Operator theory (47-XX)

This page was built for publication: Resonances of third order differential operators